Statement – I :  $\overline{a}\mathbf{\times }\left(\overline{b}\mathbf{\times }\overline{c}\right)\mathbf{,}\overline{b}\mathbf{\times }\left(\overline{c}\mathbf{\times }\overline{a}\right)\mathbf{,}\overline{c}\mathbf{\times }\left(\overline{a}\mathbf{\times }\overline{b}\right)$ are coplanar vectors.
Statement – II : If there exists scalars l, m, n not all zero’s such that $l\overline{a}+m\overline{b}+n\overline{c}=\overline{0}$ then the vectors $\overline{a},\overline{b},\overline{c}$ are coplanar.